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Finding the Third Proportional to 381,418.50 and 560,463

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Solution

The third proportional to 381,418.50 and 560,463 is: 823,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,418.50 : 560,463 = 560,463 : x
  2. Step 2: Convert to fraction form
    381,418.50/560,463 = 560,463/x
  3. Step 3: Cross multiply
    381,418.50x = 560,463 × 560,463
  4. Step 4: Simplify right side
    381,418.50x = 314,118,774,369
  5. Step 5: Solve for x
    x = 314,118,774,369/381,418.50
  6. Step 6: Final answer
    x = 823,554.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.